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cycle_._graph_theory [2014/02/08 19:47]
nikolaj
cycle_._graph_theory [2014/02/09 03:07]
nikolaj
Line 1: Line 1:
-===== cycle . graph theory =====+===== Cycle . graph theory =====
 ==== Set ==== ==== Set ====
 | @#88DDEE: $V,E$ ... set | | @#88DDEE: $V,E$ ... set |
Line 5: Line 5:
 | @#FFBB00: $\langle V,​E,​\psi\rangle \in \mathrm{it}(E,​V) $ | | @#FFBB00: $\langle V,​E,​\psi\rangle \in \mathrm{it}(E,​V) $ |
  
-| @#AAFFAA: $\langle V,​E,​\psi\rangle $ ... path |+| @#AAFFAA: $ \langle V,​E,​\psi\rangle $ ... path 
 +| @#55EE55: $ |V|\ge 3 $ |
  
 | @#DDDDDD: $ u,v\in V $ | | @#DDDDDD: $ u,v\in V $ |
-| @#DDDDDD: $ a$ ... sequence in $V,\ \mathrm{last}(a)=\mathrm{first}(a)$ ​ |+| @#DDDDDD: $ a$ ... sequence in $V,\ \mathrm{last}(a)=\mathrm{first}(a),\ \forall i.\ a_{i+|V|}=a_i ​$  |
 | @#DDDDDD: $ i\in\mathbb N$ | | @#DDDDDD: $ i\in\mathbb N$ |
  
Line 17: Line 18:
 ==== Parents ==== ==== Parents ====
 === Subset of === === Subset of ===
-[[Path . graph theory]], ​[[Finite undirected graph]] +[[Finite undirected graph]]
-=== Requirements === +
-[[Sequence begin]], [[Sequence end]]+
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